Monotonicity properties on k-digamma function and its related inequalities

Emrah Yildirim; G. Nemes

doi:10.7153/jmi-2020-14-12

Monotonicity properties on k-digamma function and its related inequalities

Emrah Yildirim^*
, G. Nemes

^*Corresponding author for this work

School of Mathematics

Adnan Menderes University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this work, we give some monotonicity properties of k -analogues of digamma and polygamma functions and then we obtain some inequalities related to these functions. At last, we give harmonic mean inequality for k -digamma function for all positive real values of k and x.

Original language	English
Pages (from-to)	161-173
Number of pages	13
Journal	Journal of Mathematical Inequalities
Volume	14
Issue number	1
DOIs	https://doi.org/10.7153/jmi-2020-14-12
State	Published - 1 Mar 2020

Keywords

Inequality
K -binet's first formula for lnΓk(x)
K -digamma function
k -polygamma function

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10.7153/jmi-2020-14-12

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title = "Monotonicity properties on k-digamma function and its related inequalities",

abstract = "In this work, we give some monotonicity properties of k -analogues of digamma and polygamma functions and then we obtain some inequalities related to these functions. At last, we give harmonic mean inequality for k -digamma function for all positive real values of k and x.",

keywords = "Inequality, K -binet's first formula for lnΓk(x), K -digamma function, k -polygamma function",

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AU - Yildirim, Emrah

AU - Nemes, G.

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PY - 2020/3/1

Y1 - 2020/3/1

N2 - In this work, we give some monotonicity properties of k -analogues of digamma and polygamma functions and then we obtain some inequalities related to these functions. At last, we give harmonic mean inequality for k -digamma function for all positive real values of k and x.

AB - In this work, we give some monotonicity properties of k -analogues of digamma and polygamma functions and then we obtain some inequalities related to these functions. At last, we give harmonic mean inequality for k -digamma function for all positive real values of k and x.

KW - Inequality

KW - K -binet's first formula for lnΓk(x)

KW - K -digamma function

KW - k -polygamma function

UR - https://www.scopus.com/pages/publications/85091357300

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DO - 10.7153/jmi-2020-14-12

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VL - 14

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EP - 173

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

IS - 1

ER -

Monotonicity properties on k-digamma function and its related inequalities

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Keywords

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